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Optimisation topologique (SIMP)×Méthode de Fiabilité du Premier Ordre (FORM)×
DomaineIngénierie de la fiabilitéIngénierie de la fiabilité
FamilleProcess / pipelineProcess / pipeline
Année d'origine19881969
Auteur d'origineMartin Bendsoe and Noboru KikuchiAllin Cornell
TypeGenerative design algorithmReliability analysis method
Source fondatriceBendsoe, M. P., & Kikuchi, N. (1988). Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 71(2), 197-224. link ↗Cornell, C. A. (1969). A probability-based structural code. Journal of the American Concrete Institute, 66(12), 974-985. DOI ↗
AliasSIMP, Topology design, Generative design, Density-based optimizationFORM, First-order second-moment method
Apparentées44
RésuméTopology Optimization is a computational method for distributing material optimally within a design space to maximize structural performance (strength, stiffness) while minimizing weight or cost. The Solid Isotropic Material with Penalization (SIMP) method, developed by Bendsoe and Kikuchi (1988), iteratively refines a material density distribution across the design domain using sensitivity analysis and gradient-based optimization. SIMP has revolutionized structural design in aerospace, automotive, and mechanical engineering by automating the generation of efficient structures.The First-Order Reliability Method (FORM) is a probabilistic technique for estimating the probability of structural failure given uncertain input parameters. Developed by Allin Cornell in 1969 and refined by Hasofer and Lind in 1974, FORM provides a computationally efficient approximation to the true failure probability by linearizing the limit-state function at the most probable failure point. It has become the cornerstone of modern structural reliability analysis and risk-based design.
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ScholarGateComparer des méthodes: Topology Optimization · First-Order Reliability Method. Consulté le 2026-06-17 sur https://scholargate.app/fr/compare